{"title":"The Pell Equation x2 \u2212 Py2 = Q","authors":"Ahmet Tekcan, Arzu \u00d6zko\u00e7, Canan Kocap\u0131nar, Hatice Alkan","country":null,"institution":"","volume":43,"journal":"International Journal of Physical and Mathematical Sciences","pagesStart":795,"pagesEnd":799,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/7822","abstract":"Let p be a prime number such that p \u2261 1(mod 4), say\r\np = 1+4k for a positive integer k. Let P = 2k + 1 and Q = k2.\r\nIn this paper, we consider the integer solutions of the Pell equation\r\nx2-Py2 = Q over Z and also over finite fields Fp. Also we deduce\r\nsome relations on the integer solutions (xn, yn) of it.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 43, 2010"}